Bell Inequalities for Arbitrarily High-Dimensional Systems

Daniel Collins, Nicolas Gisin, Noah Linden, Serge Massar, and Sandu Popescu
Phys. Rev. Lett. 88, 040404 – Published 10 January 2002
PDFExport Citation

Abstract

We develop a novel approach to Bell inequalities based on a constraint that the correlations exhibited by local variable theories must satisfy. This is used to construct a family of Bell inequalities for bipartite quantum systems of arbitrarily high dimensionality which are strongly resistant to noise. In particular, our work gives an analytic description of previous numerical results and generalizes them to arbitrarily high dimensionality.

  • Received 23 July 2001

DOI:https://doi.org/10.1103/PhysRevLett.88.040404

©2002 American Physical Society

Authors & Affiliations

Daniel Collins1,2, Nicolas Gisin3, Noah Linden4, Serge Massar5, and Sandu Popescu1,2

  • 1H. H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, United Kingdom
  • 2BRIMS, Hewlett-Packard Laboratories, Stoke Gifford, Bristol BS12 6QZ, United Kingdom
  • 3Group of Applied Physics, University of Geneva, 20, rue de l'Ecole-de-Médecine, CH-1211 Geneva 4, Switzerland
  • 4Department of Mathematics, Bristol University, University Walk, Bristol BS8 1TW, United Kingdom
  • 5Service de Physique Théorique, Université Libre de Bruxelles, CP 225, Boulevard du Triomphe, B1050 Bruxelles, Belgium

References (Subscription Required)

Click to Expand
Issue

Vol. 88, Iss. 4 — 28 January 2002

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×